PN sequences obtained from signs of crossings of knot diagrams

Kuniyuki Takaoka

    研究成果: Article査読

    抄録

    For an oriented knot diagram, we define a cyclic word in letters P and N corresponding to positive and negative crossings along the diagram, respectively. We give a necessary and sufficient condition for a cyclic word in P and N to be obtained from some knot diagram. Also, we prove that any PN sequence of a diagram of a nontrivial knot contains at least four subsequences PP and NN.

    本文言語English
    論文番号1650058
    ジャーナルJournal of Knot Theory and its Ramifications
    25
    10
    DOI
    出版ステータスPublished - 2016 9 1

    ASJC Scopus subject areas

    • 代数と数論

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